Question

Find $10$ rational numbers between $2$ and $3$ and also represent them on the number line.

Answer 1

We can write $2$ and $3$ as

$2=2\times \frac{20}{20}=\frac{40}{20}$

$3=3\times \frac{20}{20}=\frac{60}{20}$

$\frac{40}{20}<$$\frac{41}{20}$<$\frac{42}{20}$<$\frac{43}{20}$<$\frac{44}{20}$<$\frac{45}{20}$<$\frac{46}{20}$<$\frac{47}{20}$<$\frac{48}{20}$<$\frac{49}{20}$<$\frac{50}{20}$<$\frac{60}{20}$

$10$ Rational numbers between $2$ and $3$ are $\frac{41}{20}$, $\frac{42}{20}$, $\frac{43}{20}$, $\frac{44}{20}$, $\frac{45}{20}$, $\frac{46}{20}$, $\frac{47}{20}$, $\frac{48}{20}$, $\frac{49}{20}$, $\frac{50}{20}$.